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A265057
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Coordination sequence for (2,3,7) tiling of hyperbolic plane.
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27
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1, 3, 5, 7, 9, 12, 16, 20, 24, 28, 33, 40, 48, 57, 67, 78, 92, 109, 129, 152, 178, 209, 246, 290, 342, 402, 472, 555, 653, 769, 905, 1064, 1251, 1471, 1731, 2037, 2396, 2818, 3314, 3898, 4586, 5395, 6346, 7464, 8779, 10327, 12148, 14290, 16809, 19771, 23256, 27356, 32179, 37852, 44524, 52372
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OFFSET
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0,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (-1, 0, 1, 1, 1, 1, 1, 0, -1, -1).
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FORMULA
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G.f.: (x^6+x^5+x^4+x^3+x^2+x+1)*(x^2+x+1)*(x+1)^2/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1).
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MATHEMATICA
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CoefficientList[Series[(x^6 + x^5 + x^4 + x^3 + x^2 + x + 1) (x^2 + x + 1) (x + 1)^2/(x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 + x + 1), {x, 0, 60}], x] (* Vincenzo Librandi, Dec 30 2015 *)
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PROG
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(PARI) x='x+O('x^50); Vec((x^6+x^5+x^4+x^3+x^2+x+1)*(x^2+x+1)*(x+1)^2/(x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1)) \\ G. C. Greubel, Aug 06 2017
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CROSSREFS
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Coordination sequences for triangular tilings of hyperbolic space: A001630, A007283, A054886, A078042, A096231, A163876, A179070, A265057, A265058, A265059, A265060, A265061, A265062, A265063, A265064, A265065, A265066, A265067, A265068, A265069, A265070, A265071, A265072, A265073, A265074, A265075, A265076, A265077.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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